EXPRESSIONS & EQUATIONS

Question 6.6

How do variables and expressions use properties of operations to represent real world contexts?

Suggested Pacing = 18 days

In earlier grades, students have worked extensively with numerical expressions and have been using letters to represent unknowns in problem-solving situations since Grade 3 (3.OA.8, 4.OA.3, 5.MD.5b). In this unit, students build on their work from earlier grades by working systematically with algebraic expressions, thereby laying the groundwork for more formal work in writing and solving equations in later grades.

Essential Learning Outcome #1

∎ Students will write and evaluate numerical and algebraic expressions involving whole number exponents, find the value of an expression using exponential notation, and use appropriate terminology to explain how to evaluate an expression. (6.EE.1, 6.EE.2) (MP.2, MP.3, MP.8)

Learning Targets:

I can identify the operations of an expression and explain that a quantity (parenthesis) is both a number by itself and two numbers with an operation. (6.EE.2b)

I can write and evaluate expressions involving exponents. (6.EE.1)

I can evaluate an expression/equation using order of operations when given the value of the variable. (6.EE.2c)

I can translate verbal expressions into numerical and algebraic expressions and vice-versa. (6.EE.2a)

Essential Vocabulary

Expression
Evaluate
Exponent
Variable

Assessment Bank

6.EE.1 Assessment Items

6.EE.2 Assessment Items

Teaching Resources

Math Stations listed by standard

Engage NY

Online resources - 6.EE.1

Online resources - 6.EE.2

Problem-Solving Tasks - 6.EE.1

Problem-Solving Tasks - 6.EE.2

Problem Based Learning

Text Resources

Glencoe Course 1-Volume 2

Chapter 6 - Lesson 1- 4

Essential Learning Outcome #2

∎ Students will apply properties of operations to generate equivalent algebraic expressions, including the distributive property to generate equivalent representations. (6.EE.3, 6.EE.4) (MP.1, MP.2, MP.7)

Learning Targets:

I can create an equivalent expression through the use of properties of operations such as the commutative, associative, distributive properties and factoring. (6.EE.3)
I can determine if two expressions are equivalent using the distributive property, factoring, or substitution. (6.EE.4)